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130403305062540 = 2232583891074432069
BaseRepresentation
bin11101101001100111100010…
…101011010000000010001100
3122002201102201112122020020100
4131221213202223100002030
5114043011432044000130
61141202241253051100
736316220315161356
oct3551474253200214
9562642645566210
10130403305062540
1138606805111a74
121276104b026a90
13579bc95858c23
14242b7a72980d6
1510121511e4c60
hex7699e2ad008c

130403305062540 has 576 divisors, whose sum is σ = 409724099366400. Its totient is φ = 33559573352448.

The previous prime is 130403305062539. The next prime is 130403305062571. The reversal of 130403305062540 is 45260503304031.

130403305062540 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 3 + 3 + 0 + 50 + 62 + 540 = 666.

It is a super-2 number, since 2×1304033050625402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130403305062495 and 130403305062504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63027212626 + ... + 63027214694.

It is an arithmetic number, because the mean of its divisors is an integer number (711326561400).

Almost surely, 2130403305062540 is an apocalyptic number.

130403305062540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130403305062540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204862049683200).

130403305062540 is an abundant number, since it is smaller than the sum of its proper divisors (279320794303860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130403305062540 is a wasteful number, since it uses less digits than its factorization.

130403305062540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 130403305062540 its reverse (45260503304031), we get a palindrome (175663808366571).

The spelling of 130403305062540 in words is "one hundred thirty trillion, four hundred three billion, three hundred five million, sixty-two thousand, five hundred forty".